TY - JOUR
ID - 10956
TI - On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition with a parameter
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Ahmadkhanlu, Asghar
AD - Department of Mathematics, Faculty of Basic Sciences,
Azarbaijan Shahid Madani University, Tabriz, Iran.
Y1 - 2021
PY - 2021
VL - 9
IS - 4
SP - 1001
EP - 1012
KW - Fractional differential equations
KW - P-Laplacian operator
KW - Integral Boundary Condition
DO - 10.22034/cmde.2020.38643.1699
N2 - The aim of this work is to prove the existence and uniqueness of the positive solutions for a fractional boundary value problem by a parameterized integral boundary condition with p-Laplacian operator. By using iteration sequence, the existence of two solutions is proved. Also by applying a fixed point theorem on solid cone, the result for the uniqueness of a positive solution to the problem is obtained. Two examples are given to confirm our results.
UR - https://cmde.tabrizu.ac.ir/article_10956.html
L1 - https://cmde.tabrizu.ac.ir/article_10956_a5bf7fd0e710c2d52b7ca7bf3480bdbe.pdf
ER -